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Research Output 1998 2019

Evolution equations on time-dependent intervals

Fokas, A. S., Pelloni, B. & Xia, B., Oct 2019, In : IMA Journal of Applied Mathematics. 84, 5, p. 1044-1060 17 p.

Research output: Contribution to journalArticle

Linear equations
Boundary Value
Boundary value problems
Partial differential equations
Integral equations
Open Access
Global Weak Solutions
Free Surface
Optimal Transport
Existence of Weak Solutions

A numerical implementation of the unified Fokas transform for evolution problems on a finite interval

Kesici, E., Pelloni, B., Pryer, T. & Smith, D., Jun 2018, In : European Journal of Applied Mathematics. 29, 3, p. 543-567 25 p.

Research output: Contribution to journalArticle

Open Access
pulse detonation engines
boundary value problems
boundary conditions

Integrable nonlinear PDEs on the half-line

Pelloni, B. & Fokas, A. S., 2018, (Accepted/In press) Nonlinear systems and their remarkable mathematical structures. CRC Press

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

Nonlinear PDE
Half line
Integrable Equation
Evolution Equation

Nonlocal and multipoint boundary value problems for linear evolution equations

Pelloni, B. & Smith, D. A., Jul 2018, In : Studies in Applied Mathematics. 141, 1, p. 46-88

Research output: Contribution to journalArticle

Open Access
Nonlocal Boundary Value Problems
Multi-point Boundary Value Problem
Evolution Equation
Linear equation
Nonlocal Conditions